Question

Find the value of k.
k
H
140°
Not drawn accurately

Answer 1

40°

==============

Given a quadrilateral with four angles of:

• k,
• two right angles, and
• 140°

We know the sum of interior angles for quadrilateral, it is 360°. Let us set up an equation as follows:

• k + 2*90° + 140° = 360°

Solve it for k:

• k + 180° + 140° = 360°
• k + 320° = 360°
• k = 360° - 320°
• k = 40°

So the missing angle is 40°.